Solve for k.
k/4 + 3 = 14
k =

The equation provided is: ρ²(sin²(φ)sin²(θ) + cos²(φ)) = 16, This equation is in spherical coordinates,

where ρ represents the radial distance from the origin, φ is the polar angle (or the angle between the positive z-axis and the vector), and θ is the azimuthal angle (or the angle between the positive x-axis and the projection of the vector onto the xy-plane).

Now, let's analyze the equation further: 1. Divide both sides of the equation by 16 to isolate ρ²: ρ² = 16 / (sin²(φ)sin²(θ) + cos²(φ)) 2. Take the square root of both sides to find ρ: ρ = √(16 / (sin²(φ)sin²(θ) + cos²(φ))).

From this, we can see that the surface is defined by the radial distance ρ, which depends on the angles φ and θ. This indicates that the given equation represents a 3-dimensional surface in spherical coordinates.

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Answer:

d

Step-by-step explanation:

hope this helps

Oliver travelled the distance of 21.5 ft

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

As shown in the figure, we need to find the perimeter of the triangle ABC.

Perimeter = g + h +f ............(1)

g=f = 6.3 ft

Finding h using pythogoras theorem formula:

h² = g² + f²  

    = 6.3² +  6.3²

   =  79.38

h =√79.38  = 8.909 ≈ 8.9 ft  

So, (1) => Perimeter = 6.3 + 6.3 + 8.9 = 21.5 ft

Thus, Oliver travelled the distance of 21.5 ft

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The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.

Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).

(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).

(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.

By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.

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Answer:

To find the leading coefficient, first expand the function:

\(y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14\)

The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².

To find the vertex: see image below

Vertex = (-3, -5)

I’m pretty sure the lesser X is -6 and the greater X is -3

It is not surjective because there is no element in the range that maps to the value 2. The absolute value function only takes non-negative values, so the range is limited to [0, 2), excluding 2.

The function f(x) = |x|, defined on the interval [-2, 1] with the range [0, 2], is injective but not surjective.

To show that it is injective, we need to demonstrate that distinct elements in the domain map to distinct elements in the range. Since the absolute value function |x| always returns a non-negative value, any negative value in the domain will be mapped to its positive counterpart in the range. For example, f(-2) = |-2| = 2 and f(1) = |1| = 1. Thus, distinct elements in the domain have distinct images in the range, establishing injectivity.

However, It is not surjective because there is no element in the range that maps to the value 2. The absolute value function only takes non-negative values, so the range is limited to [0, 2), excluding 2.

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The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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Answer:

5.27777777

repeating 7s forever

rounded to 2 decimal places is:. 5.28

Hey there!

In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)

Here’s the formula

a/b = a ÷ b = [decimal form]

ANSWERING YOUR QUESTION

95/18

= 95 ÷ 18

= 5.277778 ≈ 5.3 or 5.28

Therefore, your answer is: 5.277778

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

60T = 12x - 1

Step-by-step explanation:

In speed distance and time, time(t) is given by

time = distance(d)/speed(s)

total distance ran = x miles

case 1

d = 1 mile

speed = 4 miles per hour

as time = distance(d)/speed(s)

t = 1/4

____________________________

case 2

speed = 5 miles per hour

it is given that out of x miles for first mile and last mile her speed was 5 miles per hour

thus distance for this speed can be calculated by

subtracting first and last mile from x miles

therefore

distance = x-2 miles\

t = (x-2)/5

_____________________________________

case 3

distance = 1 mile

speed = 6 miles per hour

t = 1/6

______________________________

Total time T as required  will be sum of time for the 3 case calculated above

T = 1/4 + (x-2)/5 + 1/6

T = 1/4 + (x - 2)/5 + 1/6   (taking LCM of 6,5,4 as 60 and solving)

T = (15 + 12x - 24 + 10)/60

T = (12x - 1)/60

60T = 12x - 1

Thus, equation 60T = 12x - 1 represents her time T

Answer:

Step-by-step explanation:

the equation of this function has the form y = k/x, and when x = 15 and y = 3, the value of k can be calculated as follows:

3 = k/15, or (by multiplying both sides by 15) k = 45

Then y = 45/x

The value of the present in Kenyan shillings is approximately 2773.12 ksh.

We can convert the value 72 Deutsche marks into Swiss francs as follows:

72 Deutsche marks × (1 Swiss franc / 1.25 Deutsche marks)

= 57.6 Swiss francs

Then, we can convert Swiss francs into Kenyan shillings as follows:

57.6 Swiss francs × (48.2 ksh / 1 Swiss franc)

= 2773.12 ksh

Therefore, the value of the present in Kenyan shillings is approximately 2773.12 ksh

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The values of the constants for the given quadratic equation are a=2, b=3, and c=7.

The values of the constants for the given quadratic equation are a=2, b=3, and c=7.

The quadratic equation is defined as a polynomial with a degree of two or with a maximum power of a variable in a polynomial of 2, which will cut two intercepts on the graph at the x-axis.

Here is an equation to consider:

2x²+3x+7 = 0

Using the general equation as a comparison to the previous equation:

ax²+bx+c = 0

Thus, the constants' values will be as follows:

a=2, b=3 c=7

Therefore, for the following quadratic equation, the values of the constants are a=2, b=3, and c=7.

The values of the constants for the given quadratic equation are a=2, b=3, and c=7.

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Answer: The correct answer is:

The y-intercept is 3.79, which means a student with no absences is predicted to have a GPA of 3.79.

Explanation:

To determine the relationship between the number of absences and the GPA, the student can use linear regression analysis. The regression line can be obtained using software such as Excel or R. The y-intercept of the regression line represents the predicted value of the response variable (GPA) when the predictor variable (number of absences) is zero.

Using technology, the y-intercept for this data set is found to be 3.79. This means that a student with zero absences is predicted to have a GPA of 3.79. Therefore, the correct answer is that the y-intercept is 3.79 and it does make sense to interpret it in this context.

Step-by-step explanation:

Explanation:

Assuming there are four answer choices, we can eliminate choices A through C because they are functions. This is because they pass the vertical line test.

The vertical line test is where we try to draw a single vertical line through more than one point on the curve. If such a task is possible, then it is said to "fail the vertical line test" and it's not a function.

For choice A, we cannot draw a single vertical line through more than one point on the parabola. Choice A passes the vertical line test. Hence, it is a function. The same goes for choices B and C.

Unfortunately choice D is not shown, but if it's the only thing left, then I'm assuming that it's some curve that fails the vertical line test.

Answer:

+60

Step-by-step explanation:

This is the answer because you multiply -15 x -4 =60

because negative and negative make positive and =60

Hope this helps:)

pls mark brainly

Answer and Explanation

\(4\ \frac{3}{4}\) \(or\) \(\frac{19}{4}\) = \(4.75\)

__________________________________________________________

We can prove this is correct by adding and multiplying some of the fractions.

\(\frac{1}{2}\cdot\frac{2}{2}\) = \(\frac{2}{4}\)

There.

__________________________________________________________

Now, we will add the fractions.

\(\frac{1}{4}+\frac{2}{4}\) = \(\frac{3}{4}\)

\(3+1\) = \(4\)

\(4+\frac{3}{4}\) = \(4\ \frac{3}{4}\)

__________________________________________________________

So, the answer is  \(4\ \frac{3}{4}\).

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

2 8 20

Step-by-step explanation:

sorry if my answer is wrong

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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To calculate Evan's AGI (Adjusted Gross Income) and taxable income if he files as a single taxpayer, we need to consider his income and deductible expenses.

Calculate Evan's total income:
  - Salary: $73,650
  - Part-time hourly pay: $700

  Total income = Salary + Part-time pay = $73,650 + $700 = $74,350

Deductible expenses:
  - Moving expenses: $1,200
  - Student loan interest: $2,890
  - Uniform cost: $1,490
  - Cash contribution: $1,345

  Total deductible expenses = $1,200 + $2,890 + $1,490 + $1,345 = $6,925

Calculate AGI:
  AGI = Total income - Total deductible expenses
  AGI = $74,350 - $6,925 = $67,425

Evan's taxable income is equal to his AGI since there were no other deductions mentioned in the question.

Therefore, Evan's AGI is $67,425, and his taxable income is also $67,425.

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Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

We have,

Income:

Salary: $73,650

Part-time work pay: $700

Total income: $73,650 + $700 = $74,350

Deductible Expenses:

Cost of moving possessions: $1,200

(This deduction applies if the move meets certain distance and time requirements. Since the move was 125 miles away, it meets the distance requirement.)

Interest paid on student loans: $2,890

Cost of purchasing a delivery uniform: $1,490

Cash contribution to State University deliveryman program: $1,345

Total deductible expenses:

$1,200 + $2,890 + $1,490 + $1,345

= $6,925

Now we can calculate Evan's AGI and taxable income:

AGI (Adjusted Gross Income)

= Total income - Deductible expenses

AGI = $74,350 - $6,925 = $67,425

Taxable Income = AGI - Standard Deduction

For a single filer in 2022, the standard deduction is $12,550.

Taxable Income = $67,425 - $12,550 = $54,875

Therefore,

Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

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An interior angle of a polygon is an angle formed inside the two adjacent sides. In our case, an interior angle is the angle in red color:

In our case, there are 8 sides so our polygon is an octagon. So, the size of each interio angle is given by

Therefore, the answer is 135 degrees:

Answer:

B

Step-by-step explanation:

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Luis’s, because he flipped the inequality sign when he subtracted

Answer:

3x+75>90

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

3x + 75 < 90

Step-by-step explanation:

Can i be brainlist i work very hard

The size of the set |E ∩ B| is 2, and the size of the set |B| is 3.

There are six possible outcomes when two dice are thrown:
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3), (4,1), (4,2), (4,3), (5,1), (5,2), (5,3), (6,1), (6,2), (6,3)}.

Out of these 18 outcomes, the following three satisfy the event E (both dice are odd): (1,3), (3,1), and (3,3).
The following outcomes satisfy event B (the blue die is odd): (1,1), (1,3), (2,1), (2,3), (3,1), and (3,3).

Therefore, the size of the set |E ∩ B| is 2 (the two outcomes that satisfy both events are (1,3) and (3,1)), and the size of the set |B| is 3 (three outcomes satisfy the event B).

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According to the question The tax for a house assessed at $160,000 would be $4,000.

To find the tax for a house assessed at $160,000 using the same tax rate, we can set up a proportion based on the assessed values and taxes paid:

\(\(\frac{\text{{Assessed value of house 1}}}{\text{{Tax paid for house 1}}}\) = \(\frac{\text{{Assessed value of house 2}}}{\text{{Tax for house 2}}}\)\)

Substituting the given values, we have:

\(\(\frac{120,000}{3,000} = \frac{160,000}{x}\)\)

Cross-multiplying and solving for \(\(x\)\), we get:

\(\(x = \frac{160,000 \times 3,000}{120,000}\)\)

Calculating the expression on the right side, we find:

\(\(x = \$4,000\)\)

Therefore, the tax for a house assessed at $160,000 would be $4,000.

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The volume of the right square pyramid with the dimensions e = 5m, h = 4m, and s = 6m is 48m³.

Pyramid is a structure with a polygonal base and triangular sides that meet at a point. Pyramids have been used throughout history as tombs, temples and monuments. Many of the most famous pyramids are located in Egypt, such as the Great Pyramid of Giza.

The volume of a right square pyramid is equal to one-third of the base area multiplied by the height. To find the volume of this pyramid, we first need to calculate the base area.
The base area of a square pyramid is equal to the length of one side (s) squared. Since the length of one side of this pyramid is 6m, the base area is 6m x 6m, which equals 36m².
Now that we know the base area, we can calculate the volume of the pyramid. The volume is equal to one-third of the base area multiplied by the height. In this case, the volume of the pyramid is one-third of 36m² multiplied by 4m, which equals 48m³.
Therefore, the volume of the right square pyramid with the dimensions e = 5m, h = 4m, and s = 6m is 48m³.

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